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2010002220200 = 2352132017383281
BaseRepresentation
bin11101001111111101011…
…101111110010010101000
321010011011111210021122002
4131033331131332102220
5230412441032021300
64135214323150132
7265134504654632
oct35177535762250
97104144707562
102010002220200
11705489941977
12285675815348
1311770884b270
146d3db02da52
15374411785d5
hex1d3fd77e4a8

2010002220200 has 96 divisors (see below), whose sum is σ = 5035244624760. Its totient is φ = 741784780800.

The previous prime is 2010002220143. The next prime is 2010002220211. The reversal of 2010002220200 is 20222000102.

It can be written as a sum of positive squares in 12 ways, for example, as 3966228484 + 2006035991716 = 62978^2 + 1416346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5052560 + ... + 5435840.

Almost surely, 22010002220200 is an apocalyptic number.

2010002220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010002220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517622312380).

2010002220200 is an abundant number, since it is smaller than the sum of its proper divisors (3025242404560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010002220200 is a wasteful number, since it uses less digits than its factorization.

2010002220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385327 (or 385318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2010002220200 its reverse (20222000102), we get a palindrome (2030224220302).

The spelling of 2010002220200 in words is "two trillion, ten billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2017 2600 4034 8068 10085 16136 20170 26221 40340 50425 52442 80680 100850 104884 131105 201700 209768 262210 383281 403400 524420 655525 766562 1048840 1311050 1533124 1916405 2622100 3066248 3832810 4982653 5244200 7665620 9582025 9965306 15331240 19164050 19930612 24913265 38328100 39861224 49826530 76656200 99653060 124566325 199306120 249132650 498265300 773077777 996530600 1546155554 3092311108 3865388885 6184622216 7730777770 10050011101 15461555540 19326944425 20100022202 30923111080 38653888850 40200044404 50250055505 77307777700 80400088808 100500111010 154615555400 201000222020 251250277525 402000444040 502500555050 1005001110100 2010002220200